Horofunction Compactifications of Symmetric Spaces

Abstract

We consider horofunction compactifications of symmetric spaces with respect to invariant Finsler metrics. We show that any (generalized) Satake compactification can be realized as a horofunction compactification with respect to a polyhedral Finsler metric.Comment: In the new version, the Convexity Lemma is proven for general norms and not only polyhedral ones. Additionally, smaller changes and corrections were don